Some Inequalities Concerning the Polar Derivative of a Polynomial-II
Anal. Theory Appl., 29 (2013), pp. 384-389.
Published online: 2013-11
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@Article{ATA-29-384,
author = {A. Mir and B. Dar},
title = {Some Inequalities Concerning the Polar Derivative of a Polynomial-II},
journal = {Analysis in Theory and Applications},
year = {2013},
volume = {29},
number = {4},
pages = {384--389},
abstract = {
In this paper, we consider the class of polynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$, having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof, independent of Laguerre's theorem, of an inequality concerning the polar derivative of a polynomial.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.7}, url = {http://global-sci.org/intro/article_detail/ata/4532.html} }
TY - JOUR
T1 - Some Inequalities Concerning the Polar Derivative of a Polynomial-II
AU - A. Mir & B. Dar
JO - Analysis in Theory and Applications
VL - 4
SP - 384
EP - 389
PY - 2013
DA - 2013/11
SN - 29
DO - http://doi.org/10.4208/ata.2013.v29.n4.7
UR - https://global-sci.org/intro/article_detail/ata/4532.html
KW - Polar derivative of a polynomial.
AB -
In this paper, we consider the class of polynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$, having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof, independent of Laguerre's theorem, of an inequality concerning the polar derivative of a polynomial.
A. Mir and B. Dar. (2013). Some Inequalities Concerning the Polar Derivative of a Polynomial-II.
Analysis in Theory and Applications. 29 (4).
384-389.
doi:10.4208/ata.2013.v29.n4.7
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